Open AccessTwo-step random phase retrieval approach based on Gram-Schmidt orthonormalization and Lissajous ellipse fitting method
Author(s) -
Yu Zhang,
Xiaobo Tian,
Rongguang Liang
Publication year - 2019
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.27.002575
Subject(s) - lissajous curve , ellipse , phase retrieval , optics , phase (matter) , interferometry , amplitude , phase modulation , algorithm , physics , computer science , mathematics , phase noise , fourier transform , geometry , quantum mechanics
To overcome the phase shift error in phase shifting interferometry, a two-step random phase retrieval approach based on Gram-Schmidt (GS) orthonormalization and Lissajous ellipse fitting (LEF) method (GS&LEF) is proposed. It doesn't need pre-filtering, and can obtain relatively accurate phase distribution with only two phase shifted interferograms and less computational time. It is suitable for different background intensity, modulation amplitude distributions and noises. Last but not least, this method is effective for circular, straight or complex fringes. The simulations and experiments verify the correctness and feasibility of GS&LEF.